Finding the Third Proportional to 114.75 and 123.56

Step by Step Solution

1. Step 1: Write the proportion equation
   114.75 : 123.56 = 123.56 : x
2. Step 2: Convert to fraction form
   114.75/123.56 = 123.56/x
3. Step 3: Cross multiply
   114.75x = 123.56 × 123.56
4. Step 4: Simplify right side
   114.75x = 15,267.69
5. Step 5: Solve for x
   x = 15,267.69/114.75
6. Step 6: Final answer
   x = 133.05